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DIMENSION IN ACTION AND THE PROBLEM OF BEHAVIORAL UNITS M. Jackson Marr mm27@prism.gatech

DIMENSION IN ACTION AND THE PROBLEM OF BEHAVIORAL UNITS M. Jackson Marr mm27@prism.gatech.edu. KINETIC ENERGY = 1/2 m v 2 = M L 2 /T 2 POTENTIAL ENERGY = m g h = M L 2 /T 2 TOTAL ENERGY = K + P (conserved) TOTAL ENERGY IS A CONSTANT OF MOTION. DIMENSIONAL CONSISTENCY?.

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DIMENSION IN ACTION AND THE PROBLEM OF BEHAVIORAL UNITS M. Jackson Marr mm27@prism.gatech

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  1. DIMENSION IN ACTIONANDTHE PROBLEM OF BEHAVIORAL UNITSM. Jackson Marrmm27@prism.gatech.edu

  2. KINETIC ENERGY = 1/2 m v2 = M L2/T2 POTENTIAL ENERGY = m g h = M L2/T2 TOTAL ENERGY = K + P (conserved) TOTAL ENERGY IS A CONSTANT OF MOTION

  3. DIMENSIONAL CONSISTENCY? B = k r / (r + ro) Rout = {ln [1+(PB/γPR)(exp [1/Rin] – 1]} -1

  4. log [cabin] = ?! But, log [4 cabins / 2 cabins] = log 2 = 0.30103.

  5. Dimensional Analysis Period of a Pendulum T= f (L, g, m)? T1 = La (L T-2)b Mc in units of length, mass, and time. Solve for a, b, and c to yield dimensional consistency. a =1/2, b = -1/2, c =0, gives: T = k (L/g)1/2 , where k is dimensionless. In fact, k = 2π.

  6. Allometry in Birds

  7. If f (x) = c xα then, log f (x) = log c + α log x. This is a linear function on a log-log-scale.

  8. Scaling in IRT>t Schedules IRT>t Scheduled Value

  9. Scaling Rate and Response Number in FI Schedules

  10. Scale Invariance in FI Schedules with  = 1

  11. Rate-Dependency In FI Schedules (CPZ) Control Rate

  12. Skill Performance with Practice (Anderson, 2000)

  13. Baum’s Law (B1 / B2) = b(r1 / r2)a b: bias a: sensitivity

  14. 1/f noise in IRT>t schedules?

  15. FI 10 (FR 20: Sp)

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